Constructing cospectral hypergraphs

Aida Abiad Monge, Antonina Khramova (Corresponding author)

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Samenvatting

Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals which hypergraph properties cannot be deduced from their spectra. In this paper, we show a new method for constructing cospectral uniform hypergraphs using two well-known hypergraph representations: adjacency tensors and adjacency matrices.
Originele taal-2Engels
Pagina's (van-tot)729-740
Aantal pagina's12
TijdschriftLinear and Multilinear Algebra
Volume73
Nummer van het tijdschrift4
Vroegere onlinedatum25 jul. 2024
DOI's
StatusGepubliceerd - 2025

Financiering

Aida Abiad is partially supported by FWO (Research Foundation Flanders) (Grant Number 1285921N). This research is supported by NWO (Dutch Research Council) via an ENW-KLEIN-1 project (Grant Number OCENW.KLEIN.475). We thank Utku Okur and Joshua Cooper for carefully reading the manuscript and pointing out the distinction between cospectrality and E -cospectrality of tensors. We also thank the referees for their useful feedback.

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